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Layton, A. T. , & Wei, G. . (2012). Interface methods for biological and biomedical problems. International Journal for Numerical Methods in Biomedical Engineering, 28, 289–290. John Wiley & Sons, Ltd Chichester, UK.
Layton, A. T. . (2012). Modeling transport and flow regulatory mechanisms of the kidney. International Scholarly Research Notices, 2012. Hindawi.
Layton, A. T. , & J Beale, T. . (2012). A partially implicit hybrid method for computing interface motion in Stokes flow. Discrete Contin. Dyn. Syst. Ser. B, 27, 1139–1153.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2012). Signal transduction in a compliant thick ascending limb. American Journal of Physiology-Renal Physiology, 302, F1188–F1202. American Physiological Society Bethesda, MD.
Layton, A. T. , Pham, P. , & Ryu, H. . (2012). Signal transduction in a compliant short loop of Henle. International journal for numerical methods in biomedical engineering, 28, 369–383. John Wiley & Sons, Ltd Chichester, UK.
Layton, A. T. , Gilbert, R. L. , & Pannabecker, T. L. . (2012). Isolated interstitial nodal spaces may facilitate preferential solute and fluid mixing in the rat renal inner medulla. American Journal of Physiology-Renal Physiology, 302, F830–F839. American Physiological Society Bethesda, MD.
Layton, A. T. , Dantzler, W. H. , & Pannabecker, T. L. . (2012). Urine concentrating mechanism: impact of vascular and tubular architecture and a proposed descending limb urea-Na+ cotransporter. American Journal of Physiology-Renal Physiology, 302, F591–F605. American Physiological Society Bethesda, MD.
Layton, A. T. , Sgouralis, I. , Layton, H. , & Moore, L. . (2011). Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole. Federation of American Societies for Experimental Biology.
Layton, A. T. . (2011). Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney. Federation of American Societies for Experimental Biology.
Layton, A. T. , Bowen, M. , Wen, A. , & Layton, H. E. . (2011). Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs. Mathematical biosciences, 230, 115–127. Elsevier.
Layton, A. T. , & Layton, H. E. . (2011). Countercurrent multiplication may not explain the axial osmolality gradient in the outer medulla of the rat kidney. American Journal of Physiology-Renal Physiology, 301, F1047–F1056. American Physiological Society Bethesda, MD.
Layton, A. T. . (2011). A mathematical model of the urine concentrating mechanism in the rat renal medulla. II. Functional implications of three-dimensional architecture. American Journal of Physiology-Renal Physiology, 300, F372–F384. American Physiological Society Bethesda, MD.
Layton, A. T. . (2011). A mathematical model of the urine concentrating mechanism in the rat renal medulla. I. Formulation and base-case results. American Journal of Physiology-Renal Physiology, 300, F356–F371. American Physiological Society Bethesda, MD.
Layton, A. T. , Savage, N. S. , Howell, A. S. , Carroll, S. Y. , Drubin, D. G. , & Lew, D. J. . (2011). Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment. Current Biology, 21, 184–194. Elsevier.
Layton, H. E. , Chen, J. , Moore, L. C. , & Layton, A. T. . (2010). A mathematical model of the afferent arteriolar smooth muscle cell. The FASEB Journal, 24, 1059–27. Federation of American Societies for Experimental Biology.
Layton, A. T. , & Edwards, A. . (2010). Tubuloglomerular feedback signal transduction in a short loop of Henle. Bulletin of mathematical biology, 72, 34–62. Springer-Verlag.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2010). Hyperfiltration and inner stripe hypertrophy may explain findings by Gamble and coworkers. American Journal of Physiology-Renal Physiology, 298, F962–F972. American Physiological Society Bethesda, MD.
Layton, A. T. . (2010). Feedback-mediated dynamics in a model of a compliant thick ascending limb. Mathematical biosciences, 228, 185–194. Elsevier.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2010). Functional implications of the three-dimensional architecture of the rat renal inner medulla. American Journal of Physiology-Renal Physiology, 298, F973–F987. American Physiological Society Bethesda, MD.
Layton, A. T. , Toyama, Y. , Yang, G. - Q. , Edwards, G. S. , Kiehart, D. P. , & Venakides, S. . (2009). of dorsal closure Drosophila morphogenesis: tissue force laws and the modeling This article describes a second generation mathematical model to investigate the forces that account for the dynamics of dorsal closure, a stage of Drosophila development which. HFSP Journal, 441.

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